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12032311312144 = 245031669895787
BaseRepresentation
bin1010111100010111110110…
…1001000011111100010000
31120121021111110111211101001
42233011331221003330100
53034114133143442034
641331322325351344
72351206614435514
oct257057551037420
946537443454331
1012032311312144
113919969065962
121423b38868554
1369384688a9b6
142d851cd9c144
1515cec4902a14
hexaf17da43f10

12032311312144 has 40 divisors (see below), whose sum is σ = 23372972159040. Its totient is φ = 6000590928768.

The previous prime is 12032311312123. The next prime is 12032311312169. The reversal of 12032311312144 is 44121311323021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12984219 + ... + 13880005.

It is an arithmetic number, because the mean of its divisors is an integer number (584324303976).

Almost surely, 212032311312144 is an apocalyptic number.

It is an amenable number.

12032311312144 is a deficient number, since it is larger than the sum of its proper divisors (11340660846896).

12032311312144 is a wasteful number, since it uses less digits than its factorization.

12032311312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897967 (or 897961 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 12032311312144 its reverse (44121311323021), we get a palindrome (56153622635165).

The spelling of 12032311312144 in words is "twelve trillion, thirty-two billion, three hundred eleven million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 503 1006 1669 2012 3338 4024 6676 8048 13352 26704 839507 895787 1679014 1791574 3358028 3583148 6716056 7166296 13432112 14332592 450580861 901161722 1495068503 1802323444 2990137006 3604646888 5980274012 7209293776 11960548024 23921096048 752019457009 1504038914018 3008077828036 6016155656072 12032311312144